Free Printable Unit 3: Pre-Test Warm-up (LOGs)

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Unit 3: Pre-Test Warm-up (LOGs)

Total questions: 12

Worksheet time: 3hrs 0mins

Name

Class

Date

Without a calculator, evaluate log₄1

¹/₄

-1

not possible

Rewrite log_x95 = 2.3

x^2.3 = 95

95^2.3 = x

2.3⁹⁵ = x

x⁹⁵= 2.3

Use multiple log properties to write as a single log:
log₂x - 5log₂y

log₂(x/y⁵)

log₂(xy⁵)

log₂(x/y)⁵

log₂(x/5y)

log (xy³)

log (x⁶− y³)

log (x⁶/y³)

log (x⁶ + y³)

Expand: $\ln\left(\frac{2x^2y}{z^4}\right)$

ln2 + 2lnx + lny + 4lnz

ln2 + 2lnx + lny - 4lnz

2ln(2xy) - 4lnz

2ln2x + lny - 4lnz

log(3x)²

2log(3+x)

2log3+logx

log3+2logx

2(log3+logx)

$\log\left(\frac{m^3}{n}\right)$

logm - log3 - logn

3logm + logn

3logm - logn

3log(m-n)

$\log\ \left(9-x\right)=\log\ \left(2x-6\right)$

-11

$\frac{18}{19}$

-4

Solve for x

1.631

2.262

1.734

1.465

10.

solve for x.

$3^{2x-1}\cdot3^4=3$

1/2

5/8

-1

8/5

11.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded continuously. What will be his balance after 15 year?

$827.52

$839.93

$839.45

$846.80

12.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded continuously. How long will it take him to save $1,000?

About 19.6 years

About 18 years

About 25.3 years

About 14 years

100 %

Unit 3: Pre-Test Warm-up (LOGs)

Total questions: 12

Worksheet time: 3hrs 0mins

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